O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 4: Exercise

Solve for $x, {\left(\sqrt[3]{4}\right)}^{2x+\frac{1}{2}}=\frac{1}{32}$.

Solve for $x, 2^3\left(5^0+3^{2x}\right)=8\frac{8}{27}$.

Solve the following equation for $x$:

$3^{2x+4}+1=2.3^{x+2}$

Solve the following equation for $x$

$5^{2x+1}=6.5^x-1$

Solve the following equation for $x$

$2^{2x}-2^{x+3}=-2^4$

Solve for $x$ and $y$:

$9^x=3^{y-2}, {81}^y=3^2\times {27}^x$

Solve for $x$ and $y$:

$2^{1-\frac{x}{2}}=4^y, \left(7^{1+x}\right)\times {\left(49\right)}^{-2y}=1$

Solve for $x$ and $y$:

$2^x=16\times 2^y, {\left(27\right)}^x=9\times 3^{2y}$